es somewhere between 5,4 and 4,5. 5 4=204.5 4.5= 20.254.9 4.1=20.0920.25 is the highest, therefore my maxi product is 20.25. The pair I used was 4.5 and 4.5.Starting number 13PAIR WHICH TOTAL 13PRODUCT OF THE PAIR13,0012,11211,22210,3309,4368,5407,6426,7425,8404,9363,10302,11221,12120,130TEST FOR THE MAXI PRODUCTThe maxi product is somewhere between 7,6 and 6,7. 7 6 = 426.9 6.1 = 42.096.5 6.5 = 42.25For my starting number 13, my maxi product is 42.25. The pair I have used is 6.5 and 6.5.STARTING NUMBERSPAIR WHICH GIVE MAXIPRODUCTVALUE OF MAXI PRODUCT126 х 636105 х 525147 х 749168 х 86494.5 х 4.520.25136.5 х 6.542.25mm/n m/n(m/n)ⁿBy investigating these numbers and their results, I have come up with a formula for finding the maxi product of any given number.Let the starting number be m and n represent 2The formula would then be (m/n)ⁿ For this part of the coursework I am going to investigate the maxi product of numbers split into triples. I will ignore numbers that contain the number zero, apart from the combination, which includes the starting number.Starting number 12TRIPLE NUMBERS WHICH TOTAL 12PRODUCT 12,0,0010,1,0109,1,2188,2,2327,2,3426,3,3545,3,4604,4,4643,4,5603,3,6542,3,7422,2,8322,1,9181,1,1010TEST FOR THE MAXI PRODUCTI will test for the maximum product between 5,3,4 and 3,4,5.3 x 3 x 5= 61.254 x 4 x 4= 644 x 3 x 3=62.34I have not found any numbers higher than 64, therefore 64 is my maximum product.Starting number 9TRIPLE NUMBERS WHICH TOTAL 9PRODUCT9,0,007,1,176,2,1125,2,2204,3,2243,3,3272,3,4241,3,515TEST FOR THE MAXIMUM PRODUCT24 seems to be the highest product as the following has begun to decrease in value. However, there might be fractions that may be larger. 2.5 x 3.5 x 3=26.25I will try another one: 3.75 x 2.75 x 2.5= 25.78Not higher so 27 is definitely my maxi product.Starting number 15TRIPLE NUMBERS WHICH TOTAL 15PRODUCT15,0,0013,1,11312,2,12411,2...
